90529150800 has 360 divisors, whose sum is σ = 320943555520. Its totient is φ = 21795840000.

The previous prime is 90529150729. The next prime is 90529150801. The reversal of 90529150800 is 805192509.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90529150801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21923136 + ... + 21927264.

Almost surely, 2^90529150800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90529150800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160471777760).

90529150800 is an abundant number, since it is smaller than the sum of its proper divisors (230414404720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

90529150800 is a wasteful number, since it uses less digits than its factorization.

90529150800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4323 (or 4301 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 39.

The spelling of 90529150800 in words is "ninety billion, five hundred twenty-nine million, one hundred fifty thousand, eight hundred".